Homework SourseConsider the function fx sqrt9 x2 Find the subintervals of
Consider the function
f(x) = sqrt(9 - x^2)
Find the subintervals of monotonicity of f within the interval [-3,3].
First, calculate the derivative of f(x):
f \'(x) =
f(x) = sqrt(9 - x^2)
Find the subintervals of monotonicity of f within the interval [-3,3].
First, calculate the derivative of f(x):
f \'(x) =
Solution
f\'(x) = (9-x^2)^(1/2) (1/2)(9-x^2)^(-1/2)(-2x) ==> -x / sqrt(9-x^2) answer and put f(-3) and f(3) for subintervals![Consider the function f(x) = sqrt(9 - x^2) Find the subintervals of monotonicity of f within the interval [-3,3]. First, calculate the derivative of f(x): f \'(](/WebImages/41/consider-the-function-fx-sqrt9-x2-find-the-subintervals-of-1126311-1761600642-0.webp "Consider the function f(x) = sqrt(9 - x^2) Find the subintervals of monotonicity of f within the interval [-3,3]. First, calculate the derivative of f(x): f \'(")
